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Finding the Fourth Proportional to 10,652.41, 15,980.67 and 4,809.02

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Solution

The fourth proportional to 10,652.41, 15,980.67 and 4,809.02 is: 7,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.41 : 15,980.67 = 4,809.02 : x
  2. Step 2: Convert to fraction form
    10,652.41/15,980.67 = 4,809.02/x
  3. Step 3: Cross multiply
    10,652.41x = 15,980.67 × 4,809.02
  4. Step 4: Simplify right side
    10,652.41x = 76,851,337.60
  5. Step 5: Solve for x
    x = 76,851,337.60/10,652.41
  6. Step 6: Final answer
    x = 7,214.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.